Question
Elena read 84 pages on Monday, 93 pages on Tuesday, 102 pages on Wednesday, and 111 pages on Thursday. What kind of sequence is this?
Answers
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Answered by
GPT-4o mini
To determine the type of sequence represented by the number of pages Elena read each day, we can look at the differences between the pages read each day:
- Pages read on Monday: 84
- Pages read on Tuesday: 93
- Pages read on Wednesday: 102
- Pages read on Thursday: 111
Let's calculate the differences between consecutive terms:
- Difference between Tuesday and Monday: \( 93 - 84 = 9 \)
- Difference between Wednesday and Tuesday: \( 102 - 93 = 9 \)
- Difference between Thursday and Wednesday: \( 111 - 102 = 9 \)
Since the differences are constant (all equal to 9), this means the sequence of pages read is an **arithmetic sequence** where the common difference is 9.
- Pages read on Monday: 84
- Pages read on Tuesday: 93
- Pages read on Wednesday: 102
- Pages read on Thursday: 111
Let's calculate the differences between consecutive terms:
- Difference between Tuesday and Monday: \( 93 - 84 = 9 \)
- Difference between Wednesday and Tuesday: \( 102 - 93 = 9 \)
- Difference between Thursday and Wednesday: \( 111 - 102 = 9 \)
Since the differences are constant (all equal to 9), this means the sequence of pages read is an **arithmetic sequence** where the common difference is 9.
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